Fixed points and nonexpansive retracts in locally convex spaces
S. Naimpally, K. Singh, J. Whitfield (1984)
Fundamenta Mathematicae
Vesentini, Edoardo (2003)
Abstract and Applied Analysis
Saveliev, Peter (2000)
International Journal of Mathematics and Mathematical Sciences
Najati, Abbas, Park, Choonkil (2009)
Journal of Inequalities and Applications [electronic only]
Moradlou, Fridoun, Vaezi, Hamid, Park, Choonkil (2008)
Abstract and Applied Analysis
Vijayaraju, P. (1995)
International Journal of Mathematics and Mathematical Sciences
Aamri, Mohamed, Bennani, S., El Moutawakil, Driss (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Ali, Bashir (2009)
International Journal of Mathematics and Mathematical Sciences
Afif Amar (2013)
Open Mathematics
The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an unbounded closed convex subset of a Banach space. Applications of the newly developed fixed point theorems are also discussed for proving the existence of positive eigenvalues and surjectivity of quasibounded operators in similar situations. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness.
Ghanshyam B. Mehta (1987)
Commentationes Mathematicae Universitatis Carolinae
Cui, Yujun, Zhang, Xingqiu (2010)
Fixed Point Theory and Applications [electronic only]
Lj. B. Ćirić (1972)
Matematički Vesnik
Billy E. Rhoades, Kanhaya Lal Singh, J. H. M. Whitfield (1982)
Commentationes Mathematicae Universitatis Carolinae
Adrian Petruşel (1997)
Commentationes Mathematicae Universitatis Carolinae
The purpose of this paper is to prove an existence result for a multivalued Cauchy problem using a fixed point theorem for a multivalued contraction on a generalized complete metric space.
Mbarki, Abderrahim (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Hicks, Troy L., Rhoades, B.E. (1993)
International Journal of Mathematics and Mathematical Sciences
García-Falset, Jesús, Llorens-Fuster, E. (2010)
Fixed Point Theory and Applications [electronic only]
Avramescu, Cezar, Vladimirescu, Cristian (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Rodríguez-Montes, Jaime, Charris, Jairo A. (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Simeon Reich (1972)
Mathematische Zeitschrift